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Finding the Third Proportional to 92,542 and 199,798

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Solution

The third proportional to 92,542 and 199,798 is: 431,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,542 : 199,798 = 199,798 : x
  2. Step 2: Convert to fraction form
    92,542/199,798 = 199,798/x
  3. Step 3: Cross multiply
    92,542x = 199,798 × 199,798
  4. Step 4: Simplify right side
    92,542x = 39,919,240,804
  5. Step 5: Solve for x
    x = 39,919,240,804/92,542
  6. Step 6: Final answer
    x = 431,363.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.